84ed5 - Revision history

BudjarnLambeth: Todo

2024-12-22T04:10:36Z

Todo

← Older revision		Revision as of 04:10, 22 December 2024
Line 22:		Line 22:
	==Music==		==Music==
	* [https://www.youtube.com/watch?v=rTTym6vAFhs Not From This World] by Francium		* [https://www.youtube.com/watch?v=rTTym6vAFhs Not From This World] by Francium

			{{todo\|expand}}

BudjarnLambeth: Intervals harmonics

2024-10-06T01:32:15Z

Intervals harmonics

@@ Line 1: / Line 1: @@
-Division of the 5th harmonic '''into 84 equal parts''' (84ed5) is related to [[36edo]] but the 5/1 rather than the 2/1 being just. The octave is compressed (about 5.8656 cents) and the step size is about 33.1704 cents.{{Infobox ET|84ed5}}
+{{Infobox ET}}
 ==Intervals==
 {{Interval table}}
 ==Music==
 * [https://www.youtube.com/watch?v=rTTym6vAFhs Not From This World] by Francium

Francium: Changed interval table

2023-08-21T07:50:14Z

Changed interval table

Show changes

Francium at 11:57, 21 March 2023

2023-03-21T11:57:51Z

Show changes

Francium: Added music section

2023-02-28T10:35:46Z

Added music section

← Older revision		Revision as of 10:35, 28 February 2023
Line 427:		Line 427:
	\|just major third plus two octaves		\|just major third plus two octaves
	\|}		\|}

			==Music==

			* [https://www.youtube.com/watch?v=rTTym6vAFhs Not From This World] by Francium

Francium: Creation of this page

2023-02-12T19:34:33Z

Creation of this page

New page

Division of the 5th harmonic '''into 84 equal parts''' (84ed5) is related to [[36edo]] but the 5/1 rather than the 2/1 being just. The octave is compressed (about 5.8656 cents) and the step size is about 33.1704 cents.{{Infobox ET|84ed5}}
==Intervals==
{| class="wikitable"
|+
|-
!degree!!cents value!!corresponding
JI intervals
!comments
|-
|0||0.0000||exact 1/1
|
|-
|1||33.1704||1990656/1953125
|Valentine comma
|-
|2||66.3408||
|
|-
| 3 |3
|99.5112
|256/243
|limma
|-
| 4 |4
|132.6816
|27/25
|large limma, BP small semitone, Zarlino semitone
|-
| 5 |5
|165.8520
|
|
|-
| 6 |6
|199.0224
|
|pseudo-9/8
|-
| 7 |7
|232.1928
|
|
|-
| 8 |8
|265.3632
|
|
|-
|9
|298.5336
|
|pseudo-32/27
|-
|10
|331.7040
|
|
|-
|11
|364.8744
|100/81
|grave major third
|-
|12
|398.0448
|
|pseudo-81/64
|-
|13
|431.2152
|
|
|-
|14
|464.3856
|
|
|-
|15
|497.5560
|
|pseudo-4/3
|-
|16
|530.7264
|
|
|-
|17
|563.8968
|
|
|-
|18
|597.0672
|
|
|-
|19
|630.2376
|
|
|-
|20
|663.4080
|
|
|-
|21
|696.5784
|
|pseudo-3/2
|-
|22
|729.7488
|
|
|-
|23
|762.9192
|
|
|-
|24
|796.0896
|
|pseudo-128/81
|-
|25
|829.2600
|
|
|-
|26
|862.4304
|400/243
|grave major sixth
|-
|27
|895.6008
|
|pseudo-27/16
|-
|28
|928.7712
|
|
|-
|29
|961.9416
|
|
|-
|30
|995.1120
|
|pseudo-16/9
|-
|31
|1028.2824
|
|
|-
|32
|1061.4528
|
|
|-
|33
|1094.6232
|
|
|-
|34
|1127.7936
|
|
|-
|35
|1160.9640
|
|
|-
|36
|1194.1344
|
|pseudo-2/1
|-
|37
|1227.3049
|128/63
|septimal comma, Archytas' comma plus one octave
|-
|38
|1260.4753
|524288/253125
|Passion comma plus one octave
|-
|39
|1293.6457
|
|
|-
|40
|1326.8161
|
|
|-
|41
|1359.9865
|
|
|-
|42
|1393.1569
|
|
|-
|43
|1426.3273
|729/320
|acute major second plus one octave
|-
|44
|1459.4977
|
|
|-
|45
|1492.6681
|
|
|-
|46
|1525.8385
|
|
|-
|47
|1559.0089
|
|
|-
|48
|1592.1793
|
|
|-
|49
|1625.3497
|
|
|-
|50
|1658.5201
|
|
|-
|51
|1691.6905
|
|
|-
|52
|1724.8609
|
|
|-
|53
|1758.0313
|
|
|-
|54
|1791.2017
|
|
|-
|55
|1824.3721
|
|
|-
|56
|1857.5425
|
|
|-
|57
|1890.7129
|
|
|-
|58
|1923.8833
|243/80
|acute fifth plus one octave
|-
|59
|1957.0537
|
|
|-
|60
|1990.2241
|
|
|-
|61
|2023.3945
|
|
|-
|62
|2056.5649
|
|
|-
|63
|2089.7353
|
|
|-
|64
|2122.9057
|
|
|-
|65
|2156.0761
|
|
|-
|66
|2189.2465
|
|
|-
|67
|2222.4169
|
|
|-
|68
|2255.5873
|
|
|-
|69
|2288.7577
|
|
|-
|70
|2321.9281
|
|
|-
|71
|2355.0985
|
|
|-
|72
|2388.2689
|
|
|-
|73
|2421.4393
|81/20
|syntonic comma, Didymus comma plus two octaves
|-
|74
|2454.6097
|
|
|-
|75
|2487.7801
|
|
|-
|76
|2520.9505
|
|
|-
|77
|2554.1209
|2187/500
|Gorgo limma plus two octaves
|-
|78
|2587.2913
|
|
|-
|79
|2620.4617
|
|
|-
|80
|2653.6321
|
|
|-
|81
|2686.8025
|
|
|-
|82
|2719.9729
|
|
|-
|83
|2753.1433
|
|
|-
|84
|2786.3137
|exact 5/1
|just major third plus two octaves
|}